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Finding the Fourth Proportional to 269,283.81, 371,589.80 and 156,113.85

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Solution

The fourth proportional to 269,283.81, 371,589.80 and 156,113.85 is: 215,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,283.81 : 371,589.80 = 156,113.85 : x
  2. Step 2: Convert to fraction form
    269,283.81/371,589.80 = 156,113.85/x
  3. Step 3: Cross multiply
    269,283.81x = 371,589.80 × 156,113.85
  4. Step 4: Simplify right side
    269,283.81x = 58,010,314,298.73
  5. Step 5: Solve for x
    x = 58,010,314,298.73/269,283.81
  6. Step 6: Final answer
    x = 215,424.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.